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3237. [Ahoi2013] 连通图
https://hydro.ac/d/bzoj/record/63e4f2f1244901eb134f9255
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BZOJ/3237/3237.cpp
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BZOJ/3237/3237.cpp
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#include <iostream>
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#include <algorithm>
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#include <iterator>
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#include <limits>
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#include <random>
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#include <utility>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e5 + 5,
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M = 2e5 + 5;
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int n, m, q, s[N], d[M];
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std::mt19937 rng(std::random_device{}());
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std::vector<std::pair<int, int>> g[N];
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bool vis[N];
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template <typename T>
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class liner_base : private std::vector<T> {
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public:
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liner_base()
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: std::vector<T>(std::numeric_limits<T>::digits + 1, 0) {}
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bool insert(T w) {
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for (int i = std::numeric_limits<T>::digits; i >= 0; --i) {
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if (!(w >> i)) continue;
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if (!this->at(i)) {
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this->at(i) = w;
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return true;
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}
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w ^= this->at(i);
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}
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return false;
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}
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T query_min(T w) {
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for (int i = std::numeric_limits<T>::digits; i >= 0; --i) {
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if (!((w >> i) & 1)) continue;
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w ^= this->at(i);
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}
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return w;
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}
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};
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void dfs(int u, int f) {
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vis[u] = true;
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for (auto e : g[u]) {
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int v = e.first,
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id = e.second;
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if (!vis[v]) {
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dfs(v, u);
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s[u] ^= s[v];
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d[id] ^= s[v];
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} else if (v != f && !d[id]) {
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d[id] = rng();
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s[u] ^= d[id];
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s[v] ^= d[id];
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}
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}
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m;
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for (int i = 1, u, v; i <= m; i++) {
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cin >> u >> v;
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g[u].emplace_back(v, i);
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g[v].emplace_back(u, i);
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}
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dfs(1, 1);
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cin >> q;
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while (q--) {
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int c;
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liner_base<int> lb;
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bool ans = true;
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cin >> c;
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for (int i = 1, x; i <= c; i++) {
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cin >> x;
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ans &= lb.insert(d[x]);
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}
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cout << (ans ? "Connected" : "Disconnected") << endl;
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}
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return 0;
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}
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